Security concerns are often mentioned amongst the reasons why organizations hesitate to adopt Cloud computing. Given that multiple Cloud Service Providers (CSPs) offer similar security services (e.g., \encryption key management") albeit with different capabilities and prices, the customers need to comparatively assess the offered security services in order to select the best CSP matching their security requirements. However, the presence of both explicit and implicit dependencies across security related services add further challenges for Cloud customers to (i) specify their security requirements taking service dependencies into consideration and (ii) to determine which CSP can satisfy these requirements. We present a framework to address these challenges. For challenge (i), our framework automatically detects conicts resulting from inconsistent customer requirements. Moreover, our framework provides an explanation for the detected conicts allowing customers to resolve these conicts. To tackle challenge (ii), our framework assesses the security level provided by various CSPs and ranks the CSPs according to the desired customer requirements. We demonstrate the framework's effectiveness with real-world CSP case studies derived from the Cloud Security Alliance's Security, Trust and Assurance Registry. © 2016 ACM.